Question
Asked Sep 18, 2019
69 views

Let C be the curve described by the parametric equations x(t)= t, y(t) = t3

a) sketch a graph of C.

b) find the vector-valued function f(t) associated with this parameterization of the curve C.

c) find the velocity vector and the speed of f(t) at t=1. 

check_circle

Expert Answer

Step 1

Given equation is  

x(t)t y(t.
help_outline

Image Transcriptionclose

x(t)t y(t.

fullscreen
Step 2

To sketch the curve let convert it into Cartesian form

Put txin y = t
>y=.
help_outline

Image Transcriptionclose

Put txin y = t >y=.

fullscreen
Step 3

Graph of curve C i...

(2,8)
5
'(1,1)
5
-5
(-1,-1
10
10
--5
(-2,-8)
10
10
LC
help_outline

Image Transcriptionclose

(2,8) 5 '(1,1) 5 -5 (-1,-1 10 10 --5 (-2,-8) 10 10 LC

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Related Calculus Q&A

Find answers to questions asked by student like you

Show more Q&A add